$2.$ In the following three$-$bus test system, the magnitude of voltage at bus $1$ is set to $1\mathrm{.}05$ pu $.$ The voltage magnitude at bus $3$ is fixed at $1\mathrm{.}04$ pu with an active power generation of $200$ MW $.$ The load at bus $2$ is $400$ MW and $250$ MVAR $.$ Line impedances are marked in per unit on a $100$ MVA base, and the line charging susceptances are neglected. Solve the power flow using the Gauss$-$Seidel method and continue for three iterations.